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89.55 Integral Apollonian circle packings and touching sets

Published online by Cambridge University Press:  01 August 2016

Paul Stephenson
Paul Stephenson*
Affiliation:
The Magic Mathworks Travelling Circus, Old Coach House, Penypwllau, Holywell CH8 8HB, e-mail:Stephenson@mathcircus.demon.co.uk
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Abstract

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Type
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Information
The Mathematical Gazette , Volume 89 , Issue 515 , July 2005 , pp. 297 - 300
Copyright
Copyright © The Mathematical Association 2005

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References

1. Graham, R. Lararias, J. C. Mallows, C. L. Wilks, A. R. Tan, C. H. Apollonian circle packings: number theory, Journal of Number Theory 100 (2003) pp. 1–45. (A misprint in the abstract quoted has been corrected.)Google Scholar
2. Peterson, I. Circle game, Science News 159 (2001) pp. 254 et seq. URL: http://www.sciencenews.org/20010421/bobl8.asp.CrossRefGoogle Scholar
3. Bradley, Christopher J. Heron triangles and touching circles, Math. Gaz. 87 (March 2003) pp. 36–41.CrossRefGoogle Scholar
4. The author has chosen what he considers the most interesing properties of the set (0, 0, 1, 1) and made them the subject of a 6-part problem suitable for sixth-formers. He is happy to supply this gratis in hard copy.Google Scholar